Lecture Notes in Mathematics

Brown, Martin L.

Heegner points on both modular curves and elliptic curves over global fields of any characteristic form the topic of this research monograph. The Heegner module of an elliptic curve is an original concept introduced in this text. The computation of the cohomology of the Heegner module is the main technical result and is applied to prove the Tate conjecture for a class of elliptic surfaces over finite fields, this conjecture is equivalent to the Birch and Swinnerton-Dyer conjecture for the corresponding elliptic curves over global fields.

Details

Published by: Springer

Publication Date: 2004-07-15

Format: Paperback

ISBN-13: 9783540222903

DOI: 10.1007/b98488

Dimensions: 235cm x155cm

Pages: 518